86,170 - 79,860 = 6310
You want to find the difference between the two
6310
Answer:
-9-958
216
Step-by-step explanation:
add
Answer:
See explanation below
Step-by-step explanation:
To prove by contradiction, we are going to assume that a and b are odd.
If a and b are odd, then there exists integers j, k > 0 such that
a = 2j + 1 and b= 2k + 1
We're going to rewrite the original expression substituting a and b by their odd expression.
![a^{2} +b^{2} = (2j+1)^{2} +(2k+1)^{2} =4j^{2} +4j+1+4k^{2} +4k+1=4j^{2} +4k^{2} +4j+4k+2\\=4(j^{2} +k^{2}+j+k) +2](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%20%3D%20%282j%2B1%29%5E%7B2%7D%20%2B%282k%2B1%29%5E%7B2%7D%20%3D4j%5E%7B2%7D%20%2B4j%2B1%2B4k%5E%7B2%7D%20%2B4k%2B1%3D4j%5E%7B2%7D%20%2B4k%5E%7B2%7D%20%2B4j%2B4k%2B2%5C%5C%3D%3Cstrong%3E4%28j%5E%7B2%7D%20%2Bk%5E%7B2%7D%2Bj%2Bk%29%20%2B2%3C%2Fstrong%3E)
Now we have to cases, c is even or c is odd.
Case 1: If c is odd.
If c is odd, then c² is also odd, but we have that the expression above is even. Therefore, this is a contradiction.
Case 2: If c is even.
If c is even then it's multiple of 2, and c² is multiple of 4, but the expression above is not multiple of 4 (because it has the form 4g + 2). Therefore we have a contradiction.
Thus, a or b must be even.
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The value of sinθ can be written as (15/17).
<h3>What is Sine (Sinθ)?</h3>
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
![\rm{Sine(\theta) = \dfrac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=%5Crm%7BSine%28%5Ctheta%29%20%3D%20%5Cdfrac%7BPerpendicular%7D%7BHypotenuse%7D)
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
Given that the terminal side of an angle in standard position passes through P(15, -8). Therefore, the measure of the perpendicular will be 15 units, while the measure of the base will be 8 units. Now, the value of the hypotenuse of the triangle is,
Hypotenuse = √(15²+8²) = 17 units
Further, the value of sinθ can be written as (15/17).
Learn more about Sine:
brainly.com/question/21286835
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Answer:
With what?
Step-by-step explanation:
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